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11133304656 = 2434153106739
BaseRepresentation
bin10100101111001100…
…01011111101010000
31001201220021110211220
422113212023331100
5140300111222111
65040425205040
7542615346105
oct122746137520
931656243756
1011133304656
1147a3507631
1221a8630780
13108572c346
14778890aac
15452621e06
hex29798bf50

11133304656 has 80 divisors (see below), whose sum is σ = 30018703680. Its totient is φ = 3552240640.

The previous prime is 11133304649. The next prime is 11133304703. The reversal of 11133304656 is 65640333111.

It is a super-2 number, since 2×111333046562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50935 + ... + 157673.

It is an arithmetic number, because the mean of its divisors is an integer number (375233796).

Almost surely, 211133304656 is an apocalyptic number.

11133304656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133304656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009351840).

11133304656 is an abundant number, since it is smaller than the sum of its proper divisors (18885399024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11133304656 is a wasteful number, since it uses less digits than its factorization.

11133304656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106844 (or 106838 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 11133304656 its reverse (65640333111), we get a palindrome (76773637767).

The spelling of 11133304656 in words is "eleven billion, one hundred thirty-three million, three hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 424 492 636 656 848 984 1272 1968 2173 2544 4346 6519 8692 13038 17384 26076 34768 52152 104304 106739 213478 320217 426956 640434 853912 1280868 1707824 2561736 4376299 5123472 5657167 8752598 11314334 13128897 16971501 17505196 22628668 26257794 33943002 35010392 45257336 52515588 67886004 70020784 90514672 105031176 135772008 210062352 231943847 271544016 463887694 695831541 927775388 1391663082 1855550776 2783326164 3711101552 5566652328 11133304656